id author title date pages extension mime words sentences flesch summary cache txt work_45x5k7murzgspnobjbjrlrtday Benjamin Anders Levinstein Leitgeb and Pettigrew on Accuracy and Updating 2012 18 .pdf application/pdf 5733 599 73 Leitgeb and Pettigrew (2010a,b) argue that (1) agents should minimize the expected inaccuracy of their beliefs, and (2) inaccuracy should be measured via the Brier score. Leitgeb and Pettigrew argue that we should measure the inaccuracy of a probability function C r at w by seeing how far it is from �w under the ACCURACY (DIACHRONIC EXPECTED GLOBAL): Suppose an agent has learned evidence between t and t 0 that imposes constraints C on her belief function C rt 0 at t It turns out that for nearly any measure of inaccuracy one might think is reasonable (including the quadratic scoring rules), the function that minimizes expected inaccuracy under these Leitgeb and Pettigrew (2010b) show that under the Brier score, ADEG requires a different updating The argument against the Brier score as a measure of inaccuracy comes from its failings in recommending an updating procedure in Jeffrey-UES's. ./cache/work_45x5k7murzgspnobjbjrlrtday.pdf ./txt/work_45x5k7murzgspnobjbjrlrtday.txt